Large transverse deflections of circular plates loaded symmetrically |
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| Affiliation: | 1. Faculty of Society and Design, Bond University, Robina, QLD 4226 Gold Coast, Australia;2. School of Architecture and Built Environment, University of Newcastle, Callaghan, NSW 2308, Australia;3. School of Built Environment, Engineering and Computing, Leeds Beckett University, City Campus, Leeds LS2 8AG UK;4. The Hong Kong Polytechnic University, 9/F, North Wing, Block Z, Phase 8, 181 Chatham Road South, Hung Hom, Kowloon ZN912, Hong Kong |
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| Abstract: | Differential equations representing the equilibrium of circular plates subjected to symmetric lateral loading are presented in which both bending and membrane forces are taken into account. Three types of edge conditions are considered together with uniform, disc and ring loading conditions. The equations are solved numerically using a finite-difference technique. As deflections increase, it is shown how the solutions tend to those given by the membrane problem in which bending effects are ignored. The general membrane problem is also treated numerically and a series solution developed for the uniformly loaded case. |
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